{"id":"https://openalex.org/W2946954414","doi":"https://doi.org/10.1109/lcsys.2019.2919271","title":"Solution Sets for Inverse Non-Cooperative Linear-Quadratic Differential Games","display_name":"Solution Sets for Inverse Non-Cooperative Linear-Quadratic Differential Games","publication_year":2019,"publication_date":"2019-05-27","ids":{"openalex":"https://openalex.org/W2946954414","doi":"https://doi.org/10.1109/lcsys.2019.2919271","mag":"2946954414"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2019.2919271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2919271","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.qut.edu.au/130721/1/Technical_Note___Inverse_LQ_Games.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050017097","display_name":"Jairo Inga","orcid":"https://orcid.org/0000-0001-6554-9457"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jairo Inga","raw_affiliation_strings":["Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075335613","display_name":"Esther Bischoff","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Esther Bischoff","raw_affiliation_strings":["Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078645226","display_name":"Timothy L. Molloy","orcid":"https://orcid.org/0000-0002-6797-5617"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Timothy L. Molloy","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Queensland University of Technology, Brisbane, QLD, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Queensland University of Technology, Brisbane, QLD, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081378290","display_name":"Michael Flad","orcid":"https://orcid.org/0000-0003-3252-6632"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Flad","raw_affiliation_strings":["Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040502908","display_name":"S\u00f6ren Hohmann","orcid":"https://orcid.org/0000-0002-4170-1431"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Soren Hohmann","raw_affiliation_strings":["Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5050017097"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":3.7061,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93469215,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"3","issue":"4","first_page":"871","last_page":"876"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9653000235557556,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9653000235557556,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9563999772071838,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9478999972343445,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.7643243074417114},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.6515934467315674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5473653078079224},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5160483717918396},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5072724223136902},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.48322972655296326},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47831323742866516},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.4235539436340332},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.33522289991378784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.323056161403656},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.31878453493118286},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11816328763961792}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7643243074417114},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.6515934467315674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5473653078079224},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5160483717918396},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5072724223136902},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.48322972655296326},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47831323742866516},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.4235539436340332},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.33522289991378784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.323056161403656},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.31878453493118286},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11816328763961792},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lcsys.2019.2919271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2019.2919271","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:EVASTAR-Karlsruhe.de:1000095252","is_oa":false,"landing_page_url":"https://publikationen.bibliothek.kit.edu/1000095252","pdf_url":null,"source":{"id":"https://openalex.org/S4306401992","display_name":"Repository KITopen (Karlsruhe Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102335020","host_organization_name":"Karlsruhe Institute of Technology","host_organization_lineage":["https://openalex.org/I102335020"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"IEEE Control Systems Letters, 3 (4), 871 \u2013 876","raw_type":"doc-type:article"},{"id":"pmh:oai:eprints.qut.edu.au:130721","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.qut.edu.au/130721/1/Technical_Note___Inverse_LQ_Games.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters","raw_type":"Contribution to Journal"},{"id":"doi:10.5445/ir/1000095252","is_oa":true,"landing_page_url":"https://doi.org/10.5445/ir/1000095252","pdf_url":null,"source":{"id":"https://openalex.org/S7407052948","display_name":"KITopen","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:eprints.qut.edu.au:130721","is_oa":true,"landing_page_url":null,"pdf_url":"https://eprints.qut.edu.au/130721/1/Technical_Note___Inverse_LQ_Games.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Control Systems Letters","raw_type":"Contribution to Journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2946954414.pdf","grobid_xml":"https://content.openalex.org/works/W2946954414.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1581842928","https://openalex.org/W1971547063","https://openalex.org/W2001808786","https://openalex.org/W2027161089","https://openalex.org/W2037997802","https://openalex.org/W2067910439","https://openalex.org/W2095590702","https://openalex.org/W2107306424","https://openalex.org/W2112972351","https://openalex.org/W2262743940","https://openalex.org/W2334899171","https://openalex.org/W2492212985","https://openalex.org/W2570302042","https://openalex.org/W2592261783","https://openalex.org/W2608634483","https://openalex.org/W2615040076","https://openalex.org/W2765116338","https://openalex.org/W2765199760","https://openalex.org/W2782507983","https://openalex.org/W2784079428","https://openalex.org/W2794108217","https://openalex.org/W2810171094","https://openalex.org/W2886454630","https://openalex.org/W2990321877","https://openalex.org/W4245345046","https://openalex.org/W4245529789","https://openalex.org/W6676957584"],"related_works":["https://openalex.org/W2236801283","https://openalex.org/W2728657731","https://openalex.org/W2481143976","https://openalex.org/W2092374696","https://openalex.org/W2803932348","https://openalex.org/W3207342620","https://openalex.org/W2803931294","https://openalex.org/W3030822758","https://openalex.org/W2760737027","https://openalex.org/W4241870466"],"abstract_inverted_index":{"This":[0],"letter":[1],"addresses":[2],"the":[3,10,30,37,58,76,132],"inverse":[4],"problem":[5,28],"of":[6,26,32,39,75,84,108,118,134],"differential":[7,67,124],"games,":[8],"where":[9],"aim":[11],"is":[12],"to":[13,19,50,57,101],"compute":[14,102],"cost":[15,53,135],"functions":[16,54],"which":[17,55,81],"lead":[18,56],"observed":[20,109],"Nash":[21,60,90,120],"equilibrium":[22,61],"trajectories.":[23,113],"The":[24,69],"solution":[25,104],"this":[27],"allows":[29],"generation":[31],"a":[33,48,73,103,106,140],"model":[34],"for":[35,89,131],"inferring":[36],"intent":[38],"several":[40],"agents":[41],"interacting":[42],"with":[43],"each":[44],"other.":[45],"We":[46],"present":[47,98],"method":[49],"find":[51],"all":[52],"same":[59],"in":[62,122,138],"an":[63,99,128],"infinite-horizon":[64],"linear-quadratic":[65],"(LQ)":[66],"game.":[68],"approach":[70,100,130],"relies":[71],"on":[72,94],"reformulation":[74],"coupled":[77],"matrix":[78],"Riccati":[79],"equations":[80],"arise":[82],"out":[83],"necessary":[85],"and":[86,111,126],"sufficient":[87],"conditions":[88],"equilibria.":[91],"Furthermore,":[92],"based":[93],"our":[95],"findings,":[96],"we":[97],"given":[105],"set":[107],"state":[110],"control":[112],"Our":[114],"results":[115],"highlight":[116],"properties":[117],"feedback":[119],"equilibria":[121],"LQ":[123],"games":[125],"provide":[127],"efficient":[129],"estimation":[133],"function":[136],"matrices":[137],"such":[139],"scenario.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
